# Got around 23 questions for an algebra assignment. I will attach the pdf with the questions below.

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Got around 23 questions for an algebra assignment. I will attach the pdf with the questions below.

Got around 23 questions for an algebra assignment. I will attach the pdf with the questions below.

Project Chapter 2, sections 1 -5 Due June 30 th, 2022 Name_________________________ There are 23 questions, and you must do 22 of them for full credit on the project. I recommend attempting all of them, as extra credi t will be given if you do all 23 questions. Each question is worth 5 points for a total of 110 points, with 5 points available for extra credit . You are to work on the proj ects independently. You may turn in this project during our class meetings or submit in the D2L shell a s one c omplete pdf by the due date. You may hand write or type the project . Please show all work for full or partial credit, using the methods discussed in class. Each question will be graded based on the following rubric. 5 Points A five -point response answers the question correctly. demonstrates a thorough understanding of the mathematical topics may contain minor errors that do not detract from the de monstration of understanding indicates that the student has completed the task correctly, using mathematically sound procedures, all required work is provided 3-4 Points A three -four -point response is partially correct. demonstrates partial understanding of the mathematical topics and/or procedures embodied in the task addresses most aspects of the task, using mathematically sound procedures may contain errors and/or an incorrect solution but provides complete procedures, reasoning, and/or explanations, all required work is provided 1-2 Point A one -two -point response is incomplete and exhibits flaws but is not completely incorrect. demonstrates only a limited understanding of the mathematical topics and/or procedures embodied in the task may address some e lements of the task correctly but reaches an inadequate solution and/or provides reasoning that is faulty or incomplete exhibits multiple flaws related to misunderstanding of important aspects of the task, misuse of mathematical procedures, or faulty mathe matical reasoning may contain correct numerical answer(s) but required work is not provided 0 Points A zero -point response is incorrect. insufficient in demonstrating an understanding of the mathematical topics embodied in the task. the required work is not provided may contain answers that are incorrect, irrelevant, incoherent, or are correct but arrived at using an obviously incorrect procedure. Project Chapter 2, sections 1 -5, page 2 1. For each graph, determine whether y is a function of x. a. b. 2. Determine whether each relation is a function. a. {(1,5),(2,2),(3,7),(4,4),(5,9)} b. {(4,−4),(1,−1),(0,0),(1,1),(4,4)} 3. Determine whether each equation defines y as a function of x. a. = 2+ 5 b. 2= − 3 4. Determine the domain and range of the following relation. Write both in interval notation. = 2− 2 For questions 5 and 6, let ()= − + , ()= − , and ()= −. 5. Find ℎ(2) 6. Find (−2)− (1) Project Chapter 2, se ctions 1 -5, page 3 7. Find the difference quotient for the function ()= 32− 1 For questions 8 -11, (1) Complete the table listing ordered pairs that satisfy the equation. (2) Then graph the equation using the ordered pairs as points. (3) Determine the domain and range, and whether y is a function of x. Also, if it is a function, state the intervals on which the graph is increasing, decreasing, or constant, if any. 8-9. (combined 10 points) = 2− 2 −2 −1 0 1 2 10 -11. (combined 10 points) = ||+ 2 −2 −1 0 1 2 Domain _______________ Range _________________ Is y a function of x? ______ State the intervals on which the graph is increasing, decreasing, and constant, if any. Increasing ______________ Decreasing _____________ Constant _______________ Domain _______________ Range _________________ Is y a function of x? ______ State the intervals on which the graph is increasing, decreasing, and co nstant, if any. Increasing ______________ Decreasing _____________ Constant _______________ Project Chapter 2, sections 1 -5, page 4 12 -13 . (combined 10 points) TRUE or FALSE: Determine if the following statements are true or false. All of the f unctions b elow are of the form = (− ℎ)2+ , and belong to the square or quadratic family. The graph of each is a parabola , and all of them are transformations of the function = 2 a) The graph of = 2+ 5 is a translation of 5 units upward of the graph of = 2. b) The graph of = 3 42 is obtained from stretching the graph of = 2. c) The graph of = 3 42 is obtained from shrinking the graph of = 2. d) The graph of = −2 is a reflection in the x -axis of the gr aph of = 2. e) The graph of = 42 is obtained from stretching the graph of = 2. f) The graph of = (+ 7)2 is a translation of 7 units to the right of the graph of = 2. g) The graph of = (+ 7)2 is a translation of 7 units to the left of the graph of = 2. h) The graph of = 2− 8 is a translation of 8 units downward of the graph of = 2. i) The graph of = 2− 8 is a translation of 8 units upward of the graph of = 2 14 . Determine algebraically (by finding (−)) whether the function is even, odd, or neither. Discuss the symmetry of the function. ()= 4+ 52− 1 15. Determine algebraically (by finding (−)) whether the function is even, odd, or neither. Discuss the symmetry of the f unction. ()= 3+ 42 Project Chapter 2, sections 1 -5, page 5 For questions 16 -21 , let ()= − + , ()= − , and ()= −. 16 . Find (+ )() 17 . Find (− ℎ)(4) 18 . Find (∙)(−1) 19 . Find (/)(3) 20 . Find (()) 21 . Find ((−2)) Project Chapter 2, sections 1 -5, page 6 22 . Determine whether each function is one -to-one. a. {(−3,3),(−2,2),(−1,1),(0,0),(1,1),(2,2),(3,3)} b. {(−3,−3),(−2,−2),(−1,−1),(0,0),(1,1),(2,2),(3,3)} 23 . Find the inverse of the function using the procedure for the switch -and -solve method on pg 241. ()= √− 3+ 5

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